BiHom-结合代数及相关结构上的 Rota-Baxter 算子
量子代数
2019-03-19 v3
摘要
本文旨在研究 BiHom-结合代数的 Rota-Baxter 算子。此外，我们引入并讨论了 BiHom-(三)树形代数、BiHom-Zinbiel 代数和 BiHom-四代数概念的性质。我们构造了自由 Rota-Baxter BiHom-结合代数，并给出了关于与 Rota-Baxter 结构相关的范畴与函子的一些观察。
引用
@article{arxiv.1703.07275,
title = {Rota-Baxter operators on BiHom-associative algebras and related structures},
author = {Ling Liu and Abdenacer Makhlouf and Claudia Menini and Florin Panaite},
journal= {arXiv preprint arXiv:1703.07275},
year = {2019}
}
备注
27 pages. The title has been changed, the part about BiHom-Lie algebras has been removed and will appear as a separate article. In v3 we added some things about BiHom-Zinbiel algebras